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Finding the Fourth Proportional to 10,314.59, 15,471.90 and 8,488.44

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Solution

The fourth proportional to 10,314.59, 15,471.90 and 8,488.44 is: 12,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.59 : 15,471.90 = 8,488.44 : x
  2. Step 2: Convert to fraction form
    10,314.59/15,471.90 = 8,488.44/x
  3. Step 3: Cross multiply
    10,314.59x = 15,471.90 × 8,488.44
  4. Step 4: Simplify right side
    10,314.59x = 131,332,294.84
  5. Step 5: Solve for x
    x = 131,332,294.84/10,314.59
  6. Step 6: Final answer
    x = 12,732.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.